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Green's Functions in Quantum Physics de Eleftherios N. Economou

Green's Functions in Quantum Physics: Springer Series in Solid-State Sciences, cartea 7

Autor Eleftherios N. Economou
en Limba Engleză Paperback – 13 feb 2010

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  Springer Berlin, Heidelberg – 27 iun 2006 152767 lei  6-8 săpt.

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Specificații

ISBN-13: 9783642066917
ISBN-10: 3642066917
Pagini: 500
Ilustrații: XVIII, 480 p.
Dimensiuni: 155 x 235 x 29 mm
Greutate: 0.69 kg
Ediția:Softcover reprint of hardcover 3rd ed. 2006
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Series in Solid-State Sciences

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Green’s Functions in Mathematical Physics.- Time-Independent Green’s Functions.- Time-Dependent Green’s Functions.- Green’s Functions in One-Body Quantum Problems.- Physical Significance of G. Application to the Free-Particle Case.- Green’s Functions and Perturbation Theory.- Green’s Functions for Tight-Binding Hamiltonians.- Single Impurity Scattering.- Two or More Impurities; Disordered Systems.- Electrical Conductivity and Green’s Functions.- Localization, Transport, and Green’s Functions.- Green’s Functions in Many-Body Systems.- Definitions.- Properties and Use of the Green’s Functions.- Calculational Methods for g.- Applications.

Recenzii

From the reviews of the third edition:
"The main purpose of this book is to provide graduate students, and also experienced researchers, with a clear and quite detailed survey of the applications of Green’s functions in different modern fields of quantum physics. … In summary, this book is a good manual for people who want to understand the physics and the various applications of Green’s functions in modern fields of physics. It can also be used as a starting point for studying numerical analysis in condensed matter theory." (Jean-Yves-Fortin, Mathematical Reviews, Issue, 2007 i)

Textul de pe ultima copertă

The main part of this book is devoted to the simplest kind of Green's functions, namely the solutions of linear differential equations with a -function source. It is shown that these familiar Green's functions are a powerful tool for obtaining relatively simple and general solutions of basic problems such as scattering and bound-level information. The bound-level treatment gives a clear physical understanding of "difficult" questions such as superconductivity, the Kondo effect, and, to a lesser degree, disorder-induced localization. The more advanced subject of many-body Green's functions is presented in the last part of the book.

Caracteristici

Long-established and respected reference on a key mathematical methods in physics (first published in 1979). Substantially expanded 3rd edition (50% longer) now offers end-of-chapter problems and solutions (40% are solved) and additional appendices to serve as a self-tutorial and self-sufficient reference. Demonstrates the powerful and unifying formalism of Green's functions with many applications, including transport properties, carbon nanotubes, and photonics and phoontic crystals. Includes supplementary material: sn.pub/extras